Stokes flow with Tresca boundary condition: a posteriori error analysis

被引：1
|
作者：
Agroum, R. [1 ]
Djoko, J. K. [2 ]
Koko, J. [3 ]
Sayah, T. [4 ]
机构：
[1] Ecole Ingenieurs, 1EPF, 2 rue Fernand Sastre, F-10430 Troyes, France
[2] North West Univ, Sch Math Sci, Potchefstroom, South Africa
[3] Univ Clermont Auvergne, LIMOS, CNRS, UMR 6158, BP 10448, F-63000 Clermont Ferrand, France
[4] Univ St Joseph, Fac Sci, Unite Rech Math & Modelisat, Lab Math & Applicat, BP 11-514,Riad El Solh, Beirut 11072050, Lebanon
来源：
CALCOLO | 2024年 / 61卷 / 04期
关键词：
Stokes equations; Nonlinear slip boundary conditions; Variational inequality; Iterative solution; Estimator; DISCONTINUOUS GALERKIN METHODS; FINITE-ELEMENT-METHOD; MIXED VARIATIONAL-INEQUALITIES; ITERATIVE ALGORITHMS; CONTACT PROBLEM; FRICTION; APPROXIMATION; ESTIMATORS; DISCRETIZATION;
D O I：
10.1007/s10092-024-00617-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, a reliable a posteriori error estimate of residual type is derived for a variational inequality of second kind modeling Stokes equations with Tresca's boundary condition. Two sources of the error are considered here; the discretization error and the linearization error. Balancing these two errors is crucial to design an adaptive strategy for mesh refinement. Numerical results are reported to illustrate the good performance of the estimator constructed.
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收藏
页数：34
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